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SUMMARY:Raghu Mahajan (Stanford University)
DTSTART:20210921T193000Z
DTEND:20210921T204500Z
DTSTAMP:20260423T024651Z
UID:HET/15
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HET/15/">Sph
 ere and disk partition functions in Liouville and in matrix integrals</a>\
 nby Raghu Mahajan (Stanford University) as part of Purdue HET\n\n\nAbstrac
 t\nWe compute the sphere and disk partition functions in semiclassical Lio
 uville string theory (without any vertex operator insertions) and analogou
 s quantities in double-scaled matrix integrals. The quantity sphere / disk
 ^2 is independent of the string coupling constant and we find a precise nu
 merical match between the Liouville answer and the matrix integral answer.
 \n\nThe main idea in the string theory computation is that the Liouville p
 ath integral has a noncompact family of saddle points that are related by 
 the PSL(2\,C) and PSL(2\,R) conformal symmetries on the sphere and the dis
 k\, respectively. Faddeev-Popov gauge fixing then allows us to overcome th
 e usual difficulty associated with residual gauge symmetries on the sphere
  and the disk. \n\n(Based on joint work with Douglas Stanford and Cynthia 
 Yan.)\n
LOCATION:https://researchseminars.org/talk/HET/15/
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